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Simplifying 6x + 3 = x2 + 26 Reorder the terms: 3 + 6x = x2 + 26 Reorder the terms: 3 + 6x = 26 + x2 Solving 3 + 6x = 26 + x2 Solving for variable 'x'. Reorder the terms: 3 + -26 + 6x + -1x2 = 26 + x2 + -26 + -1x2 Combine like terms: 3 + -26 = -23 -23 + 6x + -1x2 = 26 + x2 + -26 + -1x2 Reorder the terms: -23 + 6x + -1x2 = 26 + -26 + x2 + -1x2 Combine like terms: 26 + -26 = 0 -23 + 6x + -1x2 = 0 + x2 + -1x2 -23 + 6x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -23 + 6x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 23 + -6x + x2 = 0 Move the constant term to the right: Add '-23' to each side of the equation. 23 + -6x + -23 + x2 = 0 + -23 Reorder the terms: 23 + -23 + -6x + x2 = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -6x + x2 = 0 + -23 -6x + x2 = 0 + -23 Combine like terms: 0 + -23 = -23 -6x + x2 = -23 The x term is -6x. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6x + 9 + x2 = -23 + 9 Reorder the terms: 9 + -6x + x2 = -23 + 9 Combine like terms: -23 + 9 = -14 9 + -6x + x2 = -14 Factor a perfect square on the left side: (x + -3)(x + -3) = -14 Can't calculate square root of the right side. The solution to this equation could not be determined.
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